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Finding the Fourth Proportional to 453.65, 626.04 and 287.82

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Solution

The fourth proportional to 453.65, 626.04 and 287.82 is: 397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.65 : 626.04 = 287.82 : x
  2. Step 2: Convert to fraction form
    453.65/626.04 = 287.82/x
  3. Step 3: Cross multiply
    453.65x = 626.04 × 287.82
  4. Step 4: Simplify right side
    453.65x = 180,186.83
  5. Step 5: Solve for x
    x = 180,186.83/453.65
  6. Step 6: Final answer
    x = 397.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.